Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 55, 786, 245, 102 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 786, 245, 102 is 1
GCD(55, 786, 245, 102) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 786, 245, 102 is 1
GCD(55, 786, 245, 102) = 1
Given Input numbers are 55, 786, 245, 102
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 55, 786, 245, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 786, 245, 102 is 1.
Therefore, GCD of numbers 55, 786, 245, 102 is 1
Given Input Data is 55, 786, 245, 102
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 102 is 2 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(55, 786) = 43230
GCD(55, 786) = ( 55 x 786 ) / 43230
GCD(55, 786) = 43230 / 43230
GCD(55, 786) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
GCD(1, 102) = 102 / 102
GCD(1, 102) = 1
GCD of 55, 786, 245, 102 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 786, 245, 102?
GCD of 55, 786, 245, 102 is 1
2. Where do I get the detailed procedure to find GCD of 55, 786, 245, 102?
You can find a detailed procedure to find GCD of 55, 786, 245, 102 on our page.
3. How to find GCD of 55, 786, 245, 102 on a calculator?
You can find the GCD of 55, 786, 245, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.